472178818800 has 960 divisors, whose sum is σ = 1882888376320. Its totient is φ = 111601152000.

The previous prime is 472178818759. The next prime is 472178818823. The reversal of 472178818800 is 8818871274.

It is a happy number.

472178818800 is a `hidden beast` number, since 472 + 1 + 7 + 88 + 18 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 683326455 + ... + 683327145.

Almost surely, 2^472178818800 is an apocalyptic number.

472178818800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472178818800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941444188160).

472178818800 is an abundant number, since it is smaller than the sum of its proper divisors (1410709557520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

472178818800 is a wasteful number, since it uses less digits than its factorization.

472178818800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 54.

The spelling of 472178818800 in words is "four hundred seventy-two billion, one hundred seventy-eight million, eight hundred eighteen thousand, eight hundred".